Consider the following relation: {(-1,-4), (2,7), (-3,3), (2,-3), (7,7)}

Question

Consider the following relation: {(-1,-4), (2,7), (-3,3), (2,-3), (7,7)}

Part A) Graph the relation

Part B) Does this relation pass the vertical line test? How do you know, explain your answer. (2 pts)

Part C) Which ordered pair could be removed so that the relation is a function? Explain your answer. (2 pts)

Answer 1

Part A) Graph of the relation:

[graph]

Part B) The relation does not pass the vertical line test. We can see this because when we draw vertical lines through the graph, some of the lines intersect the graph at two points. For example, the vertical line x = 2 intersects the graph at both (2,7) and (2,-3).

Part C) To make the relation a function, we need to remove any ordered pair that has the same x-coordinate as another ordered pair. In this case, we can remove either (2,7) or (2,-3) since they both have the x-coordinate of 2.